Wildhorse Company uses a perpetual inventory system. The company began $2024$ with $1,300$ lamps in inventory at a cost of $$13$ per unit. During $2024,$ Wildhorse had the following purchases and sales of lamps:

Feb $15$: Purchased $2600$ units @ $$19$ per unit

April $24$: Sold $3250$ units @ $$31$ per unit

June $6$: Purchased $4550$ units @ $$24$ per unit

Oct $18$: Sold $2600$ units @ $$34$ per unit

Dec $4$: Purchased $1820$ units @ $$27$ per unit

All purchases and sales are on account.

a$)$ Calculate the cost of goods sold and ending inventory using weighted average. $($Round the weighted average cost per unit to $2$ decimal places, eg$.5\mathrm{.}27$ and final answers to $0$ decimal places, eg$.5,275)$

b$)$ Prepare journal entries to record the June $6$ purchase and the October $18$ sale.

c$)$ Calculate gross profit for the year.